vix.ing · top · new · best · stats · spec

Half circles on flag manifolds over a semifield

2022/12/20 by Lusztig, G.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2212.09959

Abstract

A flag manifold over a semifield K can be partitioned into "half i-circles" which are orbits of a K-action on that flag manifold. Here i is fixed and it corresponds to a simple reflection in the Weyl group. We prove (for certain K) a connectedness property of the flag manifold: any two points of it can be joined by a finite sequence of half i-circles for various i.

Related